Homework Help is Here – Start Your Trial Now!
Math
Statistics
college entrance exam company determined that a score of 20 on the mathematics portion of the exam suggests that a student is ready for college-level mathematics. To achieve this goal, the company recommends that students take a core urriculum of math courses in high school. Suppose a random sample of 200 students who completed this core set of courses results in a mean math score of 20.8 on the college entrance exam with a standard deviation of 3.7. Do these results uggest that students who complete the core curriculum are ready for college-level mathematics? That is, are they scoring above 20 on the mathematics portion of the exam? Complete parts a) through d) below. E Click the icon to view the table of critical t-values. ) State the appropriate null and alternative hypotheses. Fill in the correct answers below. he appropriate null and alternative hypotheses are Ho: V versus H,: ype integers or decimals. Do not round.) ) Verify that the requirements to perform the test using the t-distribution are satisfied. Select all that apply. 1A. A boxplot of the sample data shows no outliers. B. The students were randomly sampled. ] C. The sample data come from a population that is approximately normal. D. The sample size is larger than 30. ]E. The students' test scores were independent of one another. F. None of the requirements are satisfied. Uce th e R uolue oppronch ot the g= 0.05 Jouol of cignificonoo

college entrance exam company determined that a score of 20 on the mathematics portion of the exam suggests that a student is ready for college-level mathematics. To achieve this goal, the company recommends that students take a core urriculum of math courses in high school. Suppose a random sample of 200 students who completed this core set of courses results in a mean math score of 20.8 on the college entrance exam with a standard deviation of 3.7. Do these results uggest that students who complete the core curriculum are ready for college-level mathematics? That is, are they scoring above 20 on the mathematics portion of the exam? Complete parts a) through d) below. E Click the icon to view the table of critical t-values. ) State the appropriate null and alternative hypotheses. Fill in the correct answers below. he appropriate null and alternative hypotheses are Ho: V versus H,: ype integers or decimals. Do not round.) ) Verify that the requirements to perform the test using the t-distribution are satisfied. Select all that apply. 1A. A boxplot of the sample data shows no outliers. B. The students were randomly sampled. ] C. The sample data come from a population that is approximately normal. D. The sample size is larger than 30. ]E. The students' test scores were independent of one another. F. None of the requirements are satisfied. Uce th e R uolue oppronch ot the g= 0.05 Jouol of cignificonoo

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question

20

A college entrance exam company determined that a score of 20 on the mathematics portion of the exam suggests that a student is ready for college-level mathematics. To achieve this goal, the company recommends that students take a core curriculum of math courses in high school. Suppose a random sample of 200 students who completed this core set of courses results in a mean math score of 20.8 on the college entrance exam with a standard deviation of 3.7. Do these results suggest that students who complete the core curriculum are ready for college-level mathematics? That is, are they scoring above 20 on the mathematics portion of the exam? Complete parts a) through d) below. Click the icon to view the table of critical t-values. ..... (a) State the appropriate null and alternative hypotheses. Fill in the correct answers below. The appropriate null and alternative hypotheses are Ho: versus H,: (Type integers or decimals. Do not round.) (b) Verify that the requirements to perform the test using the t-distribution are satisfied. Select all that apply. A. A boxplot of the sample data shows no outliers. B. The students were randomly sampled. C. The sample data come from a population that is approximately normal. D. The sample size is larger than 30. E. The students' test scores were independent of one another. F. None of the requirements are satisfied. (c) Use the P-value approach at the a = 0.05 level of significance to test the hypotheses in part (a). Identify the test statistic. to (Round to two decimal places as needed.) Approximate the P-value. The P-value is in the range (d) Write a conclusion based on the results. the null hypothesis and claim that there sufficient evidence to conclude that the population mean is than 20.
Transcribed Image Text:A college entrance exam company determined that a score of 20 on the mathematics portion of the exam suggests that a student is ready for college-level mathematics. To achieve this goal, the company recommends that students take a core curriculum of math courses in high school. Suppose a random sample of 200 students who completed this core set of courses results in a mean math score of 20.8 on the college entrance exam with a standard deviation of 3.7. Do these results suggest that students who complete the core curriculum are ready for college-level mathematics? That is, are they scoring above 20 on the mathematics portion of the exam? Complete parts a) through d) below. Click the icon to view the table of critical t-values. ..... (a) State the appropriate null and alternative hypotheses. Fill in the correct answers below. The appropriate null and alternative hypotheses are Ho: versus H,: (Type integers or decimals. Do not round.) (b) Verify that the requirements to perform the test using the t-distribution are satisfied. Select all that apply. A. A boxplot of the sample data shows no outliers. B. The students were randomly sampled. C. The sample data come from a population that is approximately normal. D. The sample size is larger than 30. E. The students' test scores were independent of one another. F. None of the requirements are satisfied. (c) Use the P-value approach at the a = 0.05 level of significance to test the hypotheses in part (a). Identify the test statistic. to (Round to two decimal places as needed.) Approximate the P-value. The P-value is in the range (d) Write a conclusion based on the results. the null hypothesis and claim that there sufficient evidence to conclude that the population mean is than 20.
-Area in right tail (-Distribution Area in Right Tail df 0.25 0.20 0.15 0.10 0.05 0.025 0.02 0.01 0,005 0.0025 0.001 0.0005 df 1 1.000 2 0.816 3 0.765 4 0.741 0.727 1.376 1.061 0.978 0.941 0.920 1.963 1.386 1.250 1.190 1.156 3.078 1.886 1.638 1.533 1.476 6.314 2.920 2.353 2.132 2.015 12.706 4.303 3.182 2.776 2.571 15.894 4,849 3.482 2.999 2.757 31.821 6.965 4.541 3.747 3.365 63.657 9.925 5.841 4.604 4.032 127.321 14.089 7.453 318.309 22.327 10.215 7.173 5.893 636.619 31.599 12.924 8.610 6.869 2 3 4 5 5.598 4.773 0.718 7 0.711 0.706 0.703 0,700 0.906 0.896 0.889 1.134 1.119 1.108 1.943 1.895 1.860 1.833 1.812 2.447 2.365 2.306 2.262 2.228 2.612 2.517 2.449 3.143 2.998 2.896 2.821 3.707 3.499 3.355 4.317 4.029 3.833 5.208 4.785 4.501 4.297 1.440 1.415 1.397 5.959 5.408 6. 6 7 5.041 4.781 4.587 8 0.883 1.100 1.383 2.398 3.250 3.690 10 0.879 1.093 1.372 2.359 2.764 3.169 3.581 4.144 10 0.876 0.873 0.870 0.868 0.866 2.328 2.303 2.282 2.264 2.249 4.025 3.930 3.852 3.787 3.733 1.088 1.083 0.697 0.695 0.694 0.692 0.691 1.363 1.356 1.079 1.350 1.771 1.345 1.341 2.201 2.179 2.160 2.145 2.131 2.718 2.681 2.650 2.624 2.602 3.106 3.055 3.012 2.977 2.947 3.497 3.428 3.372 3.326 3.286 4.437 4.318 4.221 4.140 4.073 11 1.796 11 12 13 14 15 1.782 12 13 14 15 1.076 1.074 1.761 1.753 1.071 1.069 1.067 1.066 1.064 1.337 1.333 1.330 1.328 1.325 2.120 2.110 2.101 2.093 2.086 2.583 2.567 2.552 2.539 2.528 3.252 0.690 0.689 0.688 0.688 0.687 0.865 1.746 1.740 1.734 1.729 1.725 2.235 2.224 2.214 2.205 2.197 2.921 3.686 3.646 3.610 3.579 3.552 4.015 3.965 3.922 3.883 3.850 16 16 17 0.863 2.898 3.222 17 18 19 20 0.862 0.861 0.860 2.878 2.861 2.845 3.197 3.174 18 19 20 3.153 1.063 1.061 1.060 2.080 2.074 2.069 2.064 2.060 2.831 2.819 2.807 2.797 2.787 3.135 3.119 3.104 3.091 3.078 3.527 3.505 3.485 3,467 3.450 3.819 3.792 3.768 3.745 3.725 0.859 21 22 23 24 25 0.686 0.686 0.685 0.685 0.684 1.323 1.321 1.319 1.318 1.316 1.721 1.717 1.714 1.711 2.189 2.183 2.177 2.172 2.518 2.508 2.500 2.492 21 0.858 0.858 0.857 1,059 1.058 22 23 24 25 2.167 2.162 2.158 0.856 1.708 2.485 26 27 28 29 30 0.856 0.855 0,855 0.854 0.854 1.058 1.057 1.056 1.055 1.055 1.315 1.706 1.314 1.703 1.313 1.701 1.311 1.699 1.310 1.697 2.779 2.771 2.763 2.756 2.750 2.056 2.052 2.048 2.045 2.042 2.040 2.037 2.035 2.032 2.030 2.479 2473 2.467 2.462 2.457 3.067 3.057 3.047 3.038 3.030 3.435 3.421 3.408 3.396 3.385 3.707 3.690 3.674 3.659 3.646 26 27 28 29 0.684 0 684 0.684 0.683 0.683 0,683 2.154 2.150 2.147 30 0.853 0.853 0.853 0.852 0.852 LO54 1.054 1.053 1.052 1.052 2.744 2.738 2.733 2.728 3.633 3.622 3.611 3.601 3.591 1.309 0.682 0.682 0.682 0.682 0.682 2.453 2.449 2.445 2.441 1.696 2.144 2.141 2.138 2.136 2.133 3.022 3.015 3.008 3.002 3.375 3.365 3.356 3.348 31 32 33 34 31 1.694 1.308 1.692 1.307 1.691 1.690 1.309 32 33 34 35 1.306 2.438 2.724 2.996 3.340 35 2.131 2.129 2.127 2.125 2.123 2,434 2.431 2.429 2.426 2.423 3.333 3.326 3.319 3.313 3.307 2.990 3.582 3.574 3,566 3.558 3.551 0.681 0.852 0.851 1.052 1.051 1.051 1.050 1.050 1.306 1.688 1.305 1.687 1.304 1.686 1.304 1.685 1.303 1.684 2.028 2.026 2.024 2.023 2.021 2.719 2.715 2.712 2.708 2.704 36 36 2.985 2.980 2.976 2.971 37 0.681 37 38 39 40 38 39 40 0.681 0.681 0,681 0.851 0.851 0.851 1.047 1.045 1.044 1.043 1.042 2.109 2.099 2.093 2.088 2.084 2.403 2.390 2.381 2.374 2.368 3.261 3,232 3.211 3.195 3.183 0.679 1.676 50 60 70 2.678 2.660 2.648 2.639 2.632 0.849 1.299 0.679 0.678 0.678 0,677 0.848 0.847 0.846 0.846 1.671 1.294 1.667 1.292 2.009 2.000 1.994 1.990 1.987 2.937 2.915 2.899 2.887 2.878 3.496 3.460 3.435 3.416 3.402 50 60 70 1.296 80 1.664 80 90 1.291 1.662 90 0.845 0,842 0.842 1.290 1.282 1.282 1.984 1.962 1.960 2.081 2.056 2.054 2.626 2.581 2.576 3.174 3.098 0.677 1.042 1.037 1.036 1.660 1.646 1.645 3.390 2.364 2.330 2.326 2.871 2.813 2.807 100 100 1000 0.675 0.674 3.300 1000 3.090 3.291 z df 0.25 0,20 (0.15 0.10 0.05 0.025 0.02 0,01 0.005 0.0025 0.001 0.0005 df
Transcribed Image Text:-Area in right tail (-Distribution Area in Right Tail df 0.25 0.20 0.15 0.10 0.05 0.025 0.02 0.01 0,005 0.0025 0.001 0.0005 df 1 1.000 2 0.816 3 0.765 4 0.741 0.727 1.376 1.061 0.978 0.941 0.920 1.963 1.386 1.250 1.190 1.156 3.078 1.886 1.638 1.533 1.476 6.314 2.920 2.353 2.132 2.015 12.706 4.303 3.182 2.776 2.571 15.894 4,849 3.482 2.999 2.757 31.821 6.965 4.541 3.747 3.365 63.657 9.925 5.841 4.604 4.032 127.321 14.089 7.453 318.309 22.327 10.215 7.173 5.893 636.619 31.599 12.924 8.610 6.869 2 3 4 5 5.598 4.773 0.718 7 0.711 0.706 0.703 0,700 0.906 0.896 0.889 1.134 1.119 1.108 1.943 1.895 1.860 1.833 1.812 2.447 2.365 2.306 2.262 2.228 2.612 2.517 2.449 3.143 2.998 2.896 2.821 3.707 3.499 3.355 4.317 4.029 3.833 5.208 4.785 4.501 4.297 1.440 1.415 1.397 5.959 5.408 6. 6 7 5.041 4.781 4.587 8 0.883 1.100 1.383 2.398 3.250 3.690 10 0.879 1.093 1.372 2.359 2.764 3.169 3.581 4.144 10 0.876 0.873 0.870 0.868 0.866 2.328 2.303 2.282 2.264 2.249 4.025 3.930 3.852 3.787 3.733 1.088 1.083 0.697 0.695 0.694 0.692 0.691 1.363 1.356 1.079 1.350 1.771 1.345 1.341 2.201 2.179 2.160 2.145 2.131 2.718 2.681 2.650 2.624 2.602 3.106 3.055 3.012 2.977 2.947 3.497 3.428 3.372 3.326 3.286 4.437 4.318 4.221 4.140 4.073 11 1.796 11 12 13 14 15 1.782 12 13 14 15 1.076 1.074 1.761 1.753 1.071 1.069 1.067 1.066 1.064 1.337 1.333 1.330 1.328 1.325 2.120 2.110 2.101 2.093 2.086 2.583 2.567 2.552 2.539 2.528 3.252 0.690 0.689 0.688 0.688 0.687 0.865 1.746 1.740 1.734 1.729 1.725 2.235 2.224 2.214 2.205 2.197 2.921 3.686 3.646 3.610 3.579 3.552 4.015 3.965 3.922 3.883 3.850 16 16 17 0.863 2.898 3.222 17 18 19 20 0.862 0.861 0.860 2.878 2.861 2.845 3.197 3.174 18 19 20 3.153 1.063 1.061 1.060 2.080 2.074 2.069 2.064 2.060 2.831 2.819 2.807 2.797 2.787 3.135 3.119 3.104 3.091 3.078 3.527 3.505 3.485 3,467 3.450 3.819 3.792 3.768 3.745 3.725 0.859 21 22 23 24 25 0.686 0.686 0.685 0.685 0.684 1.323 1.321 1.319 1.318 1.316 1.721 1.717 1.714 1.711 2.189 2.183 2.177 2.172 2.518 2.508 2.500 2.492 21 0.858 0.858 0.857 1,059 1.058 22 23 24 25 2.167 2.162 2.158 0.856 1.708 2.485 26 27 28 29 30 0.856 0.855 0,855 0.854 0.854 1.058 1.057 1.056 1.055 1.055 1.315 1.706 1.314 1.703 1.313 1.701 1.311 1.699 1.310 1.697 2.779 2.771 2.763 2.756 2.750 2.056 2.052 2.048 2.045 2.042 2.040 2.037 2.035 2.032 2.030 2.479 2473 2.467 2.462 2.457 3.067 3.057 3.047 3.038 3.030 3.435 3.421 3.408 3.396 3.385 3.707 3.690 3.674 3.659 3.646 26 27 28 29 0.684 0 684 0.684 0.683 0.683 0,683 2.154 2.150 2.147 30 0.853 0.853 0.853 0.852 0.852 LO54 1.054 1.053 1.052 1.052 2.744 2.738 2.733 2.728 3.633 3.622 3.611 3.601 3.591 1.309 0.682 0.682 0.682 0.682 0.682 2.453 2.449 2.445 2.441 1.696 2.144 2.141 2.138 2.136 2.133 3.022 3.015 3.008 3.002 3.375 3.365 3.356 3.348 31 32 33 34 31 1.694 1.308 1.692 1.307 1.691 1.690 1.309 32 33 34 35 1.306 2.438 2.724 2.996 3.340 35 2.131 2.129 2.127 2.125 2.123 2,434 2.431 2.429 2.426 2.423 3.333 3.326 3.319 3.313 3.307 2.990 3.582 3.574 3,566 3.558 3.551 0.681 0.852 0.851 1.052 1.051 1.051 1.050 1.050 1.306 1.688 1.305 1.687 1.304 1.686 1.304 1.685 1.303 1.684 2.028 2.026 2.024 2.023 2.021 2.719 2.715 2.712 2.708 2.704 36 36 2.985 2.980 2.976 2.971 37 0.681 37 38 39 40 38 39 40 0.681 0.681 0,681 0.851 0.851 0.851 1.047 1.045 1.044 1.043 1.042 2.109 2.099 2.093 2.088 2.084 2.403 2.390 2.381 2.374 2.368 3.261 3,232 3.211 3.195 3.183 0.679 1.676 50 60 70 2.678 2.660 2.648 2.639 2.632 0.849 1.299 0.679 0.678 0.678 0,677 0.848 0.847 0.846 0.846 1.671 1.294 1.667 1.292 2.009 2.000 1.994 1.990 1.987 2.937 2.915 2.899 2.887 2.878 3.496 3.460 3.435 3.416 3.402 50 60 70 1.296 80 1.664 80 90 1.291 1.662 90 0.845 0,842 0.842 1.290 1.282 1.282 1.984 1.962 1.960 2.081 2.056 2.054 2.626 2.581 2.576 3.174 3.098 0.677 1.042 1.037 1.036 1.660 1.646 1.645 3.390 2.364 2.330 2.326 2.871 2.813 2.807 100 100 1000 0.675 0.674 3.300 1000 3.090 3.291 z df 0.25 0,20 (0.15 0.10 0.05 0.025 0.02 0,01 0.005 0.0025 0.001 0.0005 df
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS